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Ricardo Esteban Ruiz Baier

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Related publications (21)

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Mathematical modelling of active contraction in isolated cardiomyocytes

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi, Aymen Laadhari

We investigate the interaction of intracellular calcium spatio-temporal variations with the self-sustained contractions in cardiac myocytes. A consistent mathematical model is presented considering a hyperelastic description of the passive mechanical prope ...

Oxford University Press2014

Orthotropic active strain models for the numerical simulation of cardiac biomechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

An active strain formulation for orthotropic constitutive laws arising in cardiac mechanics modeling is introduced and studied. The passive mechanical properties of the tissue are described by the Holzapfel-Ogden relation. In the active strain formulation, ...

Wiley2012

An adaptive finite-volume method for a model of two-phase pedestrian flow

Ricardo Esteban Ruiz Baier

A flow composed of two populations of pedestrians moving in different directions is modeled by a two-dimensional system of convection-diffusion equations. An efficient simulation of the two-dimensional model is obtained by a finite-volume scheme combined w ...

American Institute of Mathematical Sciences2011

An active strain electromechanical model for cardiac tissue

Alfio Quarteroni, Fabio Nobile, Ricardo Esteban Ruiz Baier

We propose a finite element approximation of a system of partial differential equations describing the coupling between the propagation of electrical potential and large deformations of the cardiac tissue. The underlying mathematical model is based on the ...

Wiley2012

Solvability analysis and numerical approximation of linearized cardiac electromechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

This paper is concerned with the mathematical analysis of a coupled elliptic–parabolic system modeling the interaction between the propagation of electric potential and subsequent deformation of the cardiac tissue. The problem consists in a reaction–diffus ...

World Scientific Publ Co Pte Ltd2015

Integrated Heart-Coupling multiscale and multiphysics models for the simulation of the cardiac function

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Toni Mikael Lassila, Simone Rossi

Mathematical modeling of the human heart and its function can expand our understanding of various cardiac diseases, which remain the most common cause of death in the developed world. Like other physiological systems, the heart can be understood as a compl ...

Elsevier Science Sa2017

Finite element and finite volume-element simulation of pseudo-ECGs and cardiac alternans

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

In this paper, we are interested in the spatio-temporal dynamics of the transmembrane potential in paced isotropic and anisotropic cardiac tissues. In particular, we observe a specific precursor of cardiac arrhythmias that is the presence of alternans in t ...

Wiley-Blackwell2015

Active strain and activation models in cardiac electromechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

We present a model for mechanical activation of the cardiac tissue depending on the evolution of the transmembrane electrical potential and certain gating/ionic variables that are available in most of electrophysiological descriptions of the cardiac membra ...

2011

Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology

Ricardo Esteban Ruiz Baier

In the present paper, an optimal control problem constrained by the tridomain equations in electrocardiology is investigated. The state equations consisting in a coupled reaction-diffusion system modelling the propagation of the intracellular and extracell ...

Elsevier2012

On some numerical aspects of an active strain model in cardiac mechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

We are interested in the development, implementation and testing of an orthotropic model for cardiac contraction based on an active strain decomposition. Our model addresses the coupling of a transversely isotropic mechanical description at the cell level, ...

Wiley2011

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

Davide Baroli, Alfio Quarteroni, Ricardo Esteban Ruiz Baier

In this paper we present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied. We prove that the proposed di ...

Springer Verlag2013

Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Aymen Laadhari

We propose in this paper an Eulerian finite element approximation of a coupled chemical fluid-structure interaction problem arising in the study of mesoscopic cardiac biomechanics. We simulate the active response of a myocardial cell (here considered as an ...

Wiley-Blackwell2013

A finite volume scheme for cardiac propagation in media with isotropic conductivities

Ricardo Esteban Ruiz Baier

A finite volume method for solving the monodomain and bidomain models for the electrical activity of myocardial tissue is presented. These models consist of a parabolic PDE and a system of a parabolic and an elliptic PDE, respectively, for certain electric ...

Elsevier2010

Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media

Ricardo Esteban Ruiz Baier

We present fully adaptive multiresolution methods for a class of spatially two-dimensional reaction-diffusion systems which describe excitable media and often give rise to the formation of spiral waves. A novel model ingredient is a strongly degenerate dif ...

Springer Verlag2010

Analysis of a finite volume element method for the Stokes problem

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

In this paper we propose a stabilized conforming finite volume element method for the Stokes equations. On stating the convergence of the method, optimal a priori error estimates in different norms are obtained by establishing the adequate connection betwe ...

Springer2011

Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion

Ricardo Esteban Ruiz Baier

This paper is concerned with the study of pattern formation for an inhomogeneous Brusselator model with cross-diffusion, modeling an autocatalytic chemical reaction taking place in a three-dimensional domain. For the spatial discretization of the problem w ...

Elsevier2014

A stabilized finite volume element formulation for sedimentation-consolidation processes

Ricardo Esteban Ruiz Baier

A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a version of the Stokes system for an incompressible fluid desc ...

Siam Publications2012

A multiresolution method for the simulation of sedimentation in inclined channels

Ricardo Esteban Ruiz Baier

An adaptive multiresolution scheme is proposed for the numerical solution of a spatially two-dimensional model of sedimentation of suspensions of small solid particles dispersed in a viscous fluid. This model consists in a version of the Stokes equations f ...

2012

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

Ricardo Esteban Ruiz Baier

This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...

Elsevier2013

Mathematical analysis and numerical simulation of pattern formation under cross-diffusion

Ricardo Esteban Ruiz Baier

Cross-diffusion driven instabilities have gained a considerable attention in the field of population dynamics, mainly due to their ability to predict some important features in the study of spatial distribution of species in ecological systems. This paper ...

Pergamon-Elsevier Science Ltd2013